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Finding the Third Proportional to 467,112 and 1,021,470

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Solution

The third proportional to 467,112 and 1,021,470 is: 2,233,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,112 : 1,021,470 = 1,021,470 : x
  2. Step 2: Convert to fraction form
    467,112/1,021,470 = 1,021,470/x
  3. Step 3: Cross multiply
    467,112x = 1,021,470 × 1,021,470
  4. Step 4: Simplify right side
    467,112x = 1,043,400,960,900
  5. Step 5: Solve for x
    x = 1,043,400,960,900/467,112
  6. Step 6: Final answer
    x = 2,233,727.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.